English

A Real eigenvector of Circulant matrices and a conjecture of Ryser

Number Theory 2019-03-25 v1

Abstract

We prove that there is no circulant Hadamard matrix HH with first row [h1,,hn][h_{1},\ldots,h_{n}] of order n>4n>4, under a condition about a sum of scalar products of rows of two other circulant matrices of size n/2n/2 associated to H.H.

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Cite

@article{arxiv.1903.09274,
  title  = {A Real eigenvector of Circulant matrices and a conjecture of Ryser},
  author = {Luis H. Gallardo},
  journal= {arXiv preprint arXiv:1903.09274},
  year   = {2019}
}

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